What is the Greatest Common Factor of 48854 and 48864?

Greatest common factor (GCF) of 48854 and 48864 is 2.

GCF(48854,48864) = 2

We will now calculate the prime factors of 48854 and 48864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48854 and 48864.

How to find the GCF of 48854 and 48864?

We will first find the prime factorization of 48854 and 48864. After we will calculate the factors of 48854 and 48864 and find the biggest common factor number .

Step-1: Prime Factorization of 48854

Prime factors of 48854 are 2, 13, 1879. Prime factorization of 48854 in exponential form is:

48854 = 2¹ × 13¹ × 1879¹

Step-2: Prime Factorization of 48864

Prime factors of 48864 are 2, 3, 509. Prime factorization of 48864 in exponential form is:

48864 = 2⁵ × 3¹ × 509¹

Step-3: Factors of 48854

List of positive integer factors of 48854 that divides 48854 without a remainder.

1, 2, 13, 26, 1879, 3758, 24427

Step-4: Factors of 48864

List of positive integer factors of 48864 that divides 48854 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 509, 1018, 1527, 2036, 3054, 4072, 6108, 8144, 12216, 16288, 24432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48854 and 48864. The biggest common factor number is the GCF number.
So the greatest common factor 48854 and 48864 is 2.

Also check out the Least Common Multiple of 48854 and 48864